72905200735 has 4 divisors (see below), whose sum is σ = 87486240888. Its totient is φ = 58324160584.

The previous prime is 72905200729. The next prime is 72905200741. The reversal of 72905200735 is 53700250927.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (72905200729) and next prime (72905200741).

It is a cyclic number.

It is not a de Polignac number, because 72905200735 - 2¹⁷ = 72905069663 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7290520069 + ... + 7290520078.

It is an arithmetic number, because the mean of its divisors is an integer number (21871560222).

Almost surely, 2^72905200735 is an apocalyptic number.

72905200735 is a deficient number, since it is larger than the sum of its proper divisors (14581040153).

72905200735 is a wasteful number, since it uses less digits than its factorization.

72905200735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14581040152.

The product of its (nonzero) digits is 132300, while the sum is 40.

It can be divided in two parts, 7290 and 5200735, that added together give a palindrome (5208025).

The spelling of 72905200735 in words is "seventy-two billion, nine hundred five million, two hundred thousand, seven hundred thirty-five".